Toward textbook multigrid efficiency for fully implicit resistive magnetohydrodynamics

Adams, Mark F.¹  Samtaney, Ravi²  Brandt, Achi³ 

[1] Columbia Univ., New York, NY (United States);Princeton Plasma Physics Lab. (PPPL), Princeton, NJ (United States);Weizmann Inst. of Science, Rehovot (Israel)

关键词: MAGNETOHYDRODYNAMICS;    EFFICIENCY;    INTERPOLATION;    TIME DEPENDENCE;    EQUATIONS;    COMPUTERIZED SIMULATION;    NONLINEAR PROBLEMS;    ACCURACY;    BENCHMARKS;    CORRECTIONS;    DEFECTS;    PLASMA;    MAGNETIC FIELDS nonlinear multigrid;    defect correction;    implicit magnetohydrodynamics;   

DOI  :  10.2172/1223367
RP-ID  :  DOE-Columbia--25783
PID  :  OSTI ID: 1223367
Others  :  TRN: US1500822

美国|英语

来源: SciTech Connect

【 摘 要 】

Multigrid methods can solve some classes of elliptic and parabolic equations to accuracy below the truncation error with a work-cost equivalent to a few residual calculations ??? so-called ???textbook??? multigrid efficiency. We investigate methods to solve the system of equations that arise in time dependent magnetohydrodynamics (MHD) simulations with textbook multigrid efficiency. We apply multigrid techniques such as geometric interpolation, full approximate storage, Gauss-Seidel smoothers, and defect correction for fully implicit, nonlinear, second-order finite volume discretizations of MHD. We apply these methods to a standard resistive MHD benchmark problem, the GEM reconnection problem, and add a strong magnetic guide field, which is a critical characteristic of magnetically confined fusion plasmas. We show that our multigrid methods can achieve near textbook efficiency on fully implicit resistive MHD simulations.